Revision as of 18:30, 6 October 2021

Format Recommendations

Equations

Simplest Form

Example extracted from Wiki chapter titled: Dyson (1893)

$[\frac{π}{G M}] Φ_{T R}$

$=$

$- \frac{2 K (k)}{R_{1}},$

Raw text used to generate this simple equation:

<!-- (BEGIN) Raw Text Providing a Template for Mathematical Expression in its Simplest Form-->
<table border="0" cellpadding="5" align="center">

<tr>
  <td align="right">
<math>\biggl[ \frac{\pi}{GM}\biggr] \Phi_\mathrm{TR}</math>
  </td>
  <td align="center">
<math>=</math>
  </td>
  <td align="left">
<math>- \frac{2K(k)}{R_1}    \, ,</math>
  </td>
</tr>
</table>
<!-- (END) Raw Text Providing a Template for Mathematical Expression in its Simplest Form-->

With Title and References

Example extracted from Wiki chapter titled: Ostriker (1964)

Scalar Gravitational Potential
$Φ (\vec{x})$	$\equiv$	$- G ∭ \frac{ρ ({\vec{x}}^{^{'}})}{\| {\vec{x}}^{^{'}} - \vec{x} \|} d^{3} x^{'} .$
[BT87], p. 31, Eq. (2-3) [EFE], §10, p. 17, Eq. (11) [T78], §4.2, p. 77, Eq. (12)

Raw text used to generate this expression ensemble:

<!-- (BEGIN) Raw Text Providing a Template for Mathematical Expression with Title and References-->
<div align="center" id="GravitationalPotential">
<table border="0" cellpadding="5" align="center">
<tr>
  <td align="center" colspan="3">
<font color="#770000">'''Scalar Gravitational Potential'''</font>
  </td>
</tr>
<tr>
  <td align="right">
<math>\Phi(\vec{x})</math>
  </td>
  <td align="center">
<math>\equiv</math>
  </td>
  <td align="left">
<math> -G \iiint \frac{\rho(\vec{x}^{~'})}{|\vec{x}^{~'} - \vec{x}|} d^3x^' \, .</math>
  </td>
</tr>
<tr>
  <td align="center" colspan="3">
[<b>[[Appendix/References#BT87|<font color="red">BT87</font>]]</b>], p. 31, Eq. (2-3)<br />
[<b>[[Appendix/References#EFE|<font color="red">EFE</font>]]</b>], §10, p. 17, Eq. (11)<br />
[<b>[[Appendix/References#T78|<font color="red">T78</font>]]</b>], §4.2, p. 77, Eq. (12)
  </td>
</tr>
</table>
</div>
<!-- (END) Raw Text Providing a Template for Mathematical Expression with Title and References-->

Multiple Lines

Example extracted from Wiki chapter titled: Dyson (1893)

$[\frac{π}{G M}] Φ_{T R}$	$=$	$- \frac{2}{R_{1}} [(1 + k_{1}) K (k_{1})]$
	$=$	$- \frac{2 K (μ)}{R_{1}} [1 + \frac{R_{1} - R}{R_{1} + R}]$
	$=$	$- \frac{4 K (μ)}{R_{1} + R} .$

Raw text used to generate this multi-line expression:

<!-- (BEGIN) Raw Text Providing a Template for Multiline Mathematical Expression -->
<table border="0" cellpadding="5" align="center">

<tr>
  <td align="right">
<math>\biggl[ \frac{\pi}{GM}\biggr] \Phi_\mathrm{TR}</math>
  </td>
  <td align="center">
<math>=</math>
  </td>
  <td align="left">
<math>- \frac{2}{R_1} \biggl[(1+k_1)K(k_1) \biggr] </math>
  </td>
</tr>

<tr>
  <td align="right">
 
  </td>
  <td align="center">
<math>=</math>
  </td>
  <td align="left">
<math>-  \frac{2K(\mu)}{R_1} \biggl[1+\frac{R_1-R}{R_1+R}  \biggr] </math>
  </td>
</tr>

<tr>
  <td align="right">
 
  </td>
  <td align="center">
<math>=</math>
  </td>
  <td align="left">
<math>-  \frac{4K(\mu)}{R_1+R} \, .</math>
  </td>
</tr>
</table>
<!-- (END) Raw Text Providing a Template for Multiline Mathematical Expression -->

Darkgreen Quotation Inset

Example extracted from Wiki chapter titled: Onset of Bar-mode Instability …

"… the onset of instability is not very sensitive to the compressibility or angular momentum distribution of the polytrope when the models are parameterized by T/|W| — [in particular, the m = 2 barmode becomes unstable at T/|W| ∼ 0.26 - 0.28. ] The polytrope eigenfunctions are … qualitatively different from the Maclaurin eigenfunctions in one respect: they develop strong spiral arms. The spiral arms are stronger for more compressible polytropes and for polytropes whose angular momentum distributions deviate significantly from those of the Maclaurin spheroids."

— Drawn from Toman, Imamura, Pickett & Durisen (1998), ApJ, 497, 370

Raw text used to generate this example quotation inset:

<!-- (BEGIN) Raw Text Providing a Template for Darkgreen Quotation Inset-->
<table border="0" cellpadding="3" align="center" width="80%">
<tr><td align="left">
<font color="darkgreen">
"… the onset of instability is not very sensitive to the compressibility or angular momentum distribution of the polytrope when the models are parameterized by T/|W|</font> — [in particular, the m = 2 barmode becomes unstable at T/|W| ∼ 0.26 - 0.28. ] <font color="darkgreen">The polytrope eigenfunctions are … qualitatively different from the Maclaurin eigenfunctions in one respect: they develop strong spiral arms. The spiral arms are stronger for more compressible polytropes and for polytropes whose angular momentum distributions deviate significantly from those of the Maclaurin spheroids."
</font>
</td></tr>
<tr><td align="right">
— Drawn from [https://ui.adsabs.harvard.edu/abs/1998ApJ...497..370T/abstract Toman, Imamura, Pickett & Durisen (1998)], ApJ, 497, 370 
</td></tr></table>
<!-- (END) Raw Text Providing a Template for Darkgreen Quotation Inset-->

Pink Comment Balloon

Example extracted from Wiki chapter titled: Maclaurin Spheroids

Comment by J. E. Tohline: In Tassoul (1978), the leading coefficient in the expression for the pressure — and, hence, the central pressure — is too large by a factor of 2.

We know from our separate discussion of supplemental, barotropic equations of state that, for a uniform-density,

n = 0

polytropic configuration, the pressure is related to the enthalpy via the expression,

P = H ρ

. Hence, we conclude that,

$P (ϖ, z)$	$=$	$π G ρ^{2} a_{1}^{2} A_{3} (1 - e^{2}) [1 - (\frac{ϖ}{a_{1}})^{2} - (\frac{z}{a_{3}})^{2}]$
[T78], §4.5, p. 86, Eq. (51) [ST83], §7.3, p. 172, Eqs. (7.3.16) & (7.3.17)

Raw text used to generate this illustration of the pink comment balloon:

<!-- (BEGIN) raw text illustrating pink comment balloon -->
[[File:CommentButton02.png|right|100px|Comment by J. E. Tohline:  In Tassoul (1978), the leading coefficient in the expression for the pressure — and, hence, the central pressure — is too large by a factor of 2.]]We know from our [[SR#Barotropic_Structure|separate discussion of supplemental, barotropic equations of state]] that, for a uniform-density, <math>~n = 0</math> polytropic configuration, the pressure is related to the enthalpy via the expression, <math>~P = H\rho</math>.  Hence, we conclude that,
<table align="center" border="0" cellpadding="5">
<tr>
  <td align="right">
<math>
P(\varpi,z)
</math>
  </td>
  <td align="center">
<math>
=
</math>
  </td>
  <td align="left">
<math>
\pi G \rho^2 a_1^2 A_3 (1-e^2)\biggl[1 - \biggl( \frac{\varpi}{a_1} \biggr)^2 - \biggl( \frac{z}{a_3} \biggr)^2  
\biggr] 
</math>
  </td>
</tr>
<tr>
  <td align="center" colspan="3">
[<b>[[Appendix/References#T78|<font color="red">T78</font>]]</b>], §4.5, p. 86, Eq. (51)<br />
[<b>[[Appendix/References#ST83|<font color="red">ST83</font>]]</b>], §7.3, p. 172, Eqs. (7.3.16) & (7.3.17)
  </td>
</tr>
</table>
<!-- (END) raw text illustrating pink comment balloon -->

Wikitable Overflow

Example extracted from Wiki chapter titled: Toroidal Configurations and Related Coordinate Systems

Example 2
$ϖ_{t}$	$r_{t}$		$Z_{0}$		$a$		$K$
$\frac{3}{4}$	$\frac{1}{4}$		$\frac{3}{4}$		$\frac{1}{3}$		$(\frac{5}{12})^{2}$
Torus Intersection Points
$ξ_{1}$	$β$	$ℓ$	Intersection #1 (superior sign)			Intersection #2 (inferior sign)
$ξ_{1}$	$β$	$ℓ$	$ξ_{2}$	$ϖ_{i}$	$z_{i}$	$ξ_{2}$	$ϖ_{i}$	$z_{i}$
$1.1927843$	$+ 0.138485$	$1.000000$	$0.885198$	$0.704606$	$0.245844$	Degenerate Coordinate Values
$1.176$	$+ 0.116568$	$0.981258$	$0.922142$	$0.812595$	$0.242037$	$0.841611$	$0.616896$	$0.211621$
$1.160$	$+ 0.092267$	$0.962725$	$0.933386$	$0.864726$	$0.222121$	$0.824945$	$0.584858$	$0.187691$
$1.144$	$+ 0.063705$	$0.943871$	$0.940238$	$0.908969$	$0.192948$	$0.813713$	$0.560766$	$0.163372$
$1.127$	$+ 0.027202$	$0.924221$	$0.944608$	$0.949856$	$0.150191$	$0.806047$	$0.539788$	$0.135318$
$1.111$	$- 0.015045$	$0.907444$	$0.946487$	$0.980806$	$0.096065$	$0.802617$	$0.523232$	$0.105244$
$1.094$	$- 0.071947$	$0.894425$	$0.945995$	$0.999208$	$0.019887$	$0.803522$	$0.509118$	$0.066901$
$1.078$	$- 0.142539$	$0.892548$	$0.942353$	$0.989322$	$- 0.072283$	$0.810056$	$0.500846$	$0.020554$
$1.061$	$- 0.247448$	$0.916366$	$0.932024$	$0.916375$	$- 0.186599$	$0.827074$	$0.505248$	$- 0.050956$
$1.0449467$	$- 0.398902$	$1.000000$	$0.885198$	$0.632605$	$- 0.220722$	Degenerate Coordinate Values

In order to see how this overflow command works, place your mouse cursor anywhere inside the displayed table, then scroll down/up. Here is the raw text illustrating how to handle "Wikitable Overflow":

<!-- (BEGIN) Raw Text Providing Example of Wikitable Overflow -->
<div id="Example2" style="width: 85%; height: 15em; overflow: auto;">
<table align="center" border="1" cellpadding="5">
<tr><th align="center" colspan="10">Example 2</th></tr>
<tr>
  <td align="center" colspan="2" width="25%"><math>~\varpi_t</math></td>
  <td align="center" colspan="2" width="25%"><math>~r_t</math></td>
  <td align="center" colspan="2" width="25%"><math>~Z_0</math></td>
  <td align="center" colspan="2"><math>~a</math></td>
  <td align="center" colspan="2"><math>~\Kappa</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~\tfrac{3}{4}</math></td>
  <td align="center" colspan="2"><math>~\tfrac{1}{4}</math></td>
  <td align="center" colspan="2"><math>~\tfrac{3}{4}</math></td>
  <td align="center" colspan="2"><math>~\tfrac{1}{3}</math></td>
  <td align="center" colspan="2"><math>~(\tfrac{5}{12})^2</math></td>
</tr>
<tr>
  <th colspan="10" align="center">Torus Intersection Points</th>
</tr>
<tr>
  <td align="center" colspan="2" rowspan="2"><math>~\xi_1</math></td>
  <td align="center" colspan="1" rowspan="2"><math>~\beta</math></td>
  <td align="center" colspan="1" rowspan="2"><math>~\ell</math></td>
  <td align="center" colspan="3" bgcolor="yellow">Intersection #1 (''superior'' sign)</td>
  <td align="center" colspan="3" bgcolor="yellow">Intersection #2 (''inferior'' sign)</td>
</tr>
<tr>
  <td align="center"><math>~\xi_2</math>
  <td align="center"><math>~\varpi_i</math>
  <td align="center"><math>~z_i</math>
  <td align="center"><math>~\xi_2</math>
  <td align="center"><math>~\varpi_i</math>
  <td align="center"><math>~z_i</math>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.1927843</math></td>
  <td align="center" colspan="1"><math>~+0.138485</math></td>
  <td align="center" colspan="1"><math>~1.000000</math></td>
  <td align="center" colspan="1"><math>~0.885198</math></td>
  <td align="center" colspan="1"><math>~0.704606</math></td>
  <td align="center" colspan="1"><math>~0.245844</math></td>
  <td align="center" colspan="3">Degenerate Coordinate Values</td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.176</math></td>
  <td align="center" colspan="1"><math>~+0.116568</math></td>
  <td align="center" colspan="1"><math>~0.981258</math></td>
  <td align="center" colspan="1"><math>~0.922142</math></td>
  <td align="center" colspan="1"><math>~0.812595</math></td>
  <td align="center" colspan="1"><math>~0.242037</math></td>
  <td align="center" colspan="1"><math>~0.841611</math></td>
  <td align="center" colspan="1"><math>~0.616896</math></td>
  <td align="center" colspan="1"><math>~0.211621</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.160</math></td>
  <td align="center" colspan="1"><math>~+0.092267</math></td>
  <td align="center" colspan="1"><math>~0.962725</math></td>
  <td align="center" colspan="1"><math>~0.933386</math></td>
  <td align="center" colspan="1"><math>~0.864726</math></td>
  <td align="center" colspan="1"><math>~0.222121</math></td>
  <td align="center" colspan="1"><math>~0.824945</math></td>
  <td align="center" colspan="1"><math>~0.584858</math></td>
  <td align="center" colspan="1"><math>~0.187691</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.144</math></td>
  <td align="center" colspan="1"><math>~+0.063705</math></td>
  <td align="center" colspan="1"><math>~0.943871</math></td>
  <td align="center" colspan="1"><math>~0.940238</math></td>
  <td align="center" colspan="1"><math>~0.908969</math></td>
  <td align="center" colspan="1"><math>~0.192948</math></td>
  <td align="center" colspan="1"><math>~0.813713</math></td>
  <td align="center" colspan="1"><math>~0.560766</math></td>
  <td align="center" colspan="1"><math>~0.163372</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.127</math></td>
  <td align="center" colspan="1"><math>~+0.027202</math></td>
  <td align="center" colspan="1"><math>~0.924221</math></td>
  <td align="center" colspan="1"><math>~0.944608</math></td>
  <td align="center" colspan="1"><math>~0.949856</math></td>
  <td align="center" colspan="1"><math>~0.150191</math></td>
  <td align="center" colspan="1"><math>~0.806047</math></td>
  <td align="center" colspan="1"><math>~0.539788</math></td>
  <td align="center" colspan="1"><math>~0.135318</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.111</math></td>
  <td align="center" colspan="1"><math>~-0.015045</math></td>
  <td align="center" colspan="1"><math>~0.907444</math></td>
  <td align="center" colspan="1"><math>~0.946487</math></td>
  <td align="center" colspan="1"><math>~0.980806</math></td>
  <td align="center" colspan="1"><math>~0.096065</math></td>
  <td align="center" colspan="1"><math>~0.802617</math></td>
  <td align="center" colspan="1"><math>~0.523232</math></td>
  <td align="center" colspan="1"><math>~0.105244</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.094</math></td>
  <td align="center" colspan="1"><math>~-0.071947</math></td>
  <td align="center" colspan="1"><math>~0.894425</math></td>
  <td align="center" colspan="1"><math>~0.945995</math></td>
  <td align="center" colspan="1"><math>~0.999208</math></td>
  <td align="center" colspan="1"><math>~0.019887</math></td>
  <td align="center" colspan="1"><math>~0.803522</math></td>
  <td align="center" colspan="1"><math>~0.509118</math></td>
  <td align="center" colspan="1"><math>~0.066901</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.078</math></td>
  <td align="center" colspan="1"><math>~-0.142539</math></td>
  <td align="center" colspan="1"><math>~0.892548</math></td>
  <td align="center" colspan="1"><math>~0.942353</math></td>
  <td align="center" colspan="1"><math>~0.989322</math></td>
  <td align="center" colspan="1"><math>~-0.072283</math></td>
  <td align="center" colspan="1"><math>~0.810056</math></td>
  <td align="center" colspan="1"><math>~0.500846</math></td>
  <td align="center" colspan="1"><math>~0.020554</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.061</math></td>
  <td align="center" colspan="1"><math>~-0.247448</math></td>
  <td align="center" colspan="1"><math>~0.916366</math></td>
  <td align="center" colspan="1"><math>~0.932024</math></td>
  <td align="center" colspan="1"><math>~0.916375</math></td>
  <td align="center" colspan="1"><math>~-0.186599</math></td>
  <td align="center" colspan="1"><math>~0.827074</math></td>
  <td align="center" colspan="1"><math>~0.505248</math></td>
  <td align="center" colspan="1"><math>~-0.050956</math></td>
</tr>
<tr>
  <td align="center" colspan="2"><math>~1.0449467</math></td>
  <td align="center" colspan="1"><math>~-0.398902</math></td>
  <td align="center" colspan="1"><math>~1.000000</math></td>
  <td align="center" colspan="1"><math>~0.885198</math></td>
  <td align="center" colspan="1"><math>~0.632605</math></td>
  <td align="center" colspan="1"><math>~-0.220722</math></td>
  <td align="center" colspan="3">Degenerate Coordinate Values</td>
</tr>
</table>
</div>
<!-- (END) Raw Text Providing Example of Wikitable Overflow -->

Digital Images

Example extracted from Wiki chapter titled: Dyson (1893)

Figures 1, 2, 3, & 6 extracted without modification from pp. 63-66 of F. W. Dyson (1893) The Potential of an Anchor Ring Philosophical Transactions of the Royal Society of London. A., Vol. 184, pp. 43 - 95 https://doi.org/10.1098/rsta.1893.0002
The Potential Exterior to an Anchor Ring; R/d = infinity	The Potential Exterior to an Anchor Ring; R/d = 5
The Potential Exterior to an Anchor Ring; R/d = 1.667	The Potential Exterior to an Anchor Ring; R/d = 1

Raw text used to generate this figure panel containing four (reprinted with permission) digital images:

<!-- (BEGIN) Raw Text Providing a Template for Posting Digital Images (Original or Reprinted) -->

<table border="0" cellpadding="8" align="center"><tr><td align="center">
<table border="1" cellpadding="5" align="center">
<tr><td align="center" colspan="2" bgcolor="lightgreen">
'''Figures 1, 2, 3, & 6 extracted without modification from pp. 63-66 of <br />[http://adsabs.harvard.edu/abs/1893RSPTA.184...43D F. W. Dyson (1893)]'''<br />
''The Potential of an Anchor Ring''<br /> Phil. Trans. Royal Soc. London. A., Vol. 184<br />[https://doi.org/10.1098/rsta.1893.0002 https://doi.org/10.1098/rsta.1893.0002]<br />
[[File:PermissionsRectYellow.png|75px|link=Appendix/Permissions#Dyson1893]]
</td></tr>
<tr>
<td>
[[File:RoverDinfty.png|300px|center|The Potential Exterior to an Anchor Ring; R/d = infinity]]
</td>
<td>
[[File:RoverD5over1.png|300px|center|The Potential Exterior to an Anchor Ring; R/d = 5]]
</td>
</tr>
<tr>
<td>
[[File:RoverD5over2.png|300px|center|The Potential Exterior to an Anchor Ring; R/d = 1.667]]
</td>
<td>
[[File:RoverDunity.png|300px|center|The Potential Exterior to an Anchor Ring; R/d = 1]]
</td>
</tr>
</table>
</td></tr></table>
<!-- (END) Raw Text Providing a Template for Posting Digital Images (Original or Reprinted) -->

Permissions

Here is an example layout that we have adopted to provide a record of Permissions that have been granted to us by other authors and/or publishers to reproduce figures (and/or digitally clipped images of other material) from previously published (usually journal) articles.

🔵

Wiki chapter titled: Dyson (1893)

Author(s):	F. W. (Frank Watson) Dyson
Title:	II. The Potential of an Anchor Ring
Reference:	F. W. Dyson (1893, Philosophical Transactions of the Royal Society of London. A., 184, 43 - 95)
DOI:	https://doi.org/10.1098/rsta.1893.0002
(Scanned Images) Copyright:	© 2017, Royal Society
Publisher:	Royal Society Publishing
Information Entry:	2021/09/15
Relevant Permission:	"You do not need to seek permissions for re-use of material over 70 years old for up to 5 articles or figures — re-use is only subject to acknowledgement."

Here is the raw text that has been typed into our MediaWiki editor in order to generate this example Permissions layout. Generally speaking the statements of permission that we have received from various authors/publishers have been grouped in our Permissions Appendix, but this raw text can be cut (from here) and pasted into any other MediaWiki-formatted chapter to serve as a template of this adopted Permissions format.

<!-- (BEGIN) Raw Text Providing a Template for Recorded Permissions -->
<table border="0" cellpadding="2" align="center" width="100%">
<tr>
  <td align="right" width="10%"><font size="-1">🔵</font></td>
  <td align="left">
Wiki chapter titled: [[Apps/DysonPotential#Evaluation|Dyson (1893)]]
  </td>
</tr>

<tr>
  <td align="right"> </td>
  <td align="left">

<table border="1" align="left" width="90%" cellpadding="5">
<tr>
  <td align="right" width="15%">Author(s):</td>
  <td align="left">F. W. (Frank Watson) Dyson</td>
</tr>
<tr>
  <td align="right">Title:</td>
  <td align="left">''II.   The Potential of an Anchor Ring''</td>
</tr>
<tr>
  <td align="right">Reference:</td>
  <td align="left">[http://adsabs.harvard.edu/abs/1893RSPTA.184...43D F. W. Dyson (1893, Philosophical Transactions of the Royal Society of London. A., 184, 43 - 95)]</td>
</tr>
<tr>
  <td align="right">DOI:</td>
  <td align="left">[https://doi.org/10.1098/rsta.1893.0002 https://doi.org/10.1098/rsta.1893.0002]</td>
</tr>
<tr>
  <td align="right">(Scanned Images) Copyright:</td>
  <td align="left">© 2017, Royal Society</td>
</tr>
<tr>
  <td align="right">Publisher:</td>
  <td align="left">Royal Society Publishing</td>
</tr>
<tr>
  <td align="right">Information Entry:</td>
  <td align="left">2021/09/15</td>
</tr>
<tr>
  <td align="right">Relevant Permission:</td>
  <td align="left">"[https://royalsociety.org/journals/permissions/ You do not need to seek permissions for re-use of material over 70 years old for up to 5 articles or figures — re-use is only subject to acknowledgement.]"</td>
</tr>
</table>

  </td>
</tr>
</table>
<!-- (END) Raw Text Providing a Template for Recorded Permissions -->

Appendix/FormatRecommendations: Difference between revisions

Revision as of 18:30, 6 October 2021

Contents

Format Recommendations

Equations

Simplest Form

With Title and References

Multiple Lines

Darkgreen Quotation Inset

Pink Comment Balloon

Wikitable Overflow

Digital Images

Permissions

See Also

Navigation menu

Appendix/FormatRecommendations: Difference between revisions

Revision as of 18:30, 6 October 2021

Format Recommendations

Equations

Simplest Form

With Title and References

Multiple Lines

Darkgreen Quotation Inset

Pink Comment Balloon

Wikitable Overflow

Digital Images

Permissions

See Also

Navigation menu

Search